Computational Mathematics (CM)
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A Deep Double Ritz Method (D2RM) for solving Partial Differential Equations using Neural Networks
(2023-02-15)Residual minimization is a widely used technique for solving Partial Differential Equations in variational form. It minimizes the dual norm of the residual, which naturally yields a saddle-point (min–max) problem over the ... -
Limited Visual Range in the Social Force Model: Effects on Macroscopic and Microscopic Dynamics
(2023-01-15)The Social Force Model has been widely used to simulate pedestrian dynamics. Its simplicity and ability to reproduce some collective patterns of behavior make it an adequate tool in the field of pedestrian dynamics. However, ... -
Deep Learning for Inverting Borehole Resistivity Measurements
(2022-11-25)There exist multiple traditional methods to solve inverse problems, mainly, gradient-based or statistics-based methods. However, these methods have severe limitations. In particular, they often need to compute the forward ... -
A numerical method for suspensions of articulated bodies in viscous flows
(2022-09-01)An articulated body is defined as a finite number of rigid bodies connected by a set of arbitrary constraints that limit the relative motion between pairs of bodies. Such a general definition encompasses a wide variety of ... -
Aeroacoustic Analysis of a Subsonic Jet using the Discontinuous Galerkin Method
(2022)In this work, the open-source spectral/hp element framework Nektar++ (www.nektar.info) is coupled with the Antares library (www.cerfacs.fr/antares/) to predict noise from a subsonic jet. Nektar++ uses the high-order ... -
Zindler-type hypersurfaces in R^4
(2022-09-08)In this paper the definition of Zindler-type hypersurfaces is introduced in $\mathbb{R}^4$ as a generalization of planar Zindler curves. After recalling some properties of planar Zindler curves, it is shown that Zindler ... -
The DPG Method for the Convection-Reaction Problem, Revisited
(2022-01-01)We study both conforming and non-conforming versions of the practical DPG method for the convection-reaction problem. We determine that the most common approach for DPG stability analysis - construction of a local Fortin ... -
Technology-Agnostic Assessment of Wave Energy System Capabilities
(2022-04-01)Developing new wave energy technologies is risky, costly and time-consuming. The large diversity of concepts, components and evaluation criteria creates a vast design space of potentially feasible solutions. This paper ... -
Experimental investigation of anomalous molecular probe diffusion in entangled polymer melts
(2022-01-01)Investigations on the diffusion of small molecules or particles in polymeric materials are important to numerous technologies and can also be used to gain insight on polymer chain dynamics. Systems where the probe size is ... -
Mesoscopic simulations of inertial drag enhancement and polymer migration in viscoelastic solutions flowing around a confined array of cylinders
(2022-07-01)We study the flow around a periodic array of cylinders using a mesoscopic viscoelastic fluid that mimics polymeric solutions. We model our fluid employing a novel mesoscopic method based on Smoothed Dissipative Particle ... -
Machining-induced characteristics of microstructure-supported LPBF-IN718 curved thin walls
(2022-07)The microstructure-supported design of engineering components is recently gaining attention due to their high strength-to-weight and high stiffness-to-weight properties. The present study investigates the hybrid manufacturing ... -
1D Painless Multi-level Automatic Goal-Oriented h and p Adaptive Strategies Using a Pseudo-Dual Operator
(2022-01-01)The main idea of our Goal-Oriented Adaptive (GOA) strategy is based on performing global and uniform h- or p-refinements (for h- and p-adaptivity, respectively) followed by a coarsening step, where some basis functions are ... -
Arbitrary flow boundary conditions in smoothed dissipative particle dynamics: A generalized virtual rheometer
(2021-01-01)In this work, a methodology to perform rheological studies on smoothed dissipative particle dynamics under arbitrary flow configurations is introduced. To evaluate the accuracy and flexibility of the proposed methodology, ... -
Hydrodynamics of spike proteins dictate a transport-affinity competition for SARS-CoV-2 and other enveloped viruses
(2022-12-01)Many viruses, such as SARS-CoV-2 or Influenza, possess envelopes decorated with surface proteins (a.k.a. spikes). Depending on the virus type, a large variability is present in the surface-proteins number, morphology and ... -
Refined isogeometric analysis of quadratic eigenvalue problems
(2022-07-16)Certain applications that analyze damping effects require the solution of quadratic eigenvalue problems (QEPs). We use refined isogeometric analysis (rIGA) to solve quadratic eigenproblems. rIGA discretization, while ... -
Self-diffusion of spherocylindrical particles flowing under non-uniform shear rate
(2022-04-07)This work is devoted to study numerically the self-diffusion of spherocylindrical particles flowing down an inclined plane, using the discrete element method (DEM). This system is challenging due to particles being ... -
Offsets and front tire tracks to projective hedgehogs
(2022-07-25)There are some known properties on curves of constant width and Zindler curves and their relationship with offsets and front tire-track curves in convex geometry. In this work, a generalization of all these concepts and ... -
Combined model-based and machine learning approach for damage identification in bridge type structures
(2022-06)In this work, we propose a combined approach of model-based and machine learning techniques for damage identification in bridge structures. First, a finite element model is calibrated with real data from experimental ... -
Modeling swelling effects during coffee extraction with smoothed particle hydrodynamics
(2022-04-01)It is commonly assumed that coffee particles swell during filtration, but it has not been clarified how different degrees of swelling affect the extraction. In this article, we propose a grain swelling model to investigate ... -
Regular polygons on isochordal-viewed hedgehogs
(2022)A curve $\alpha$ is called isochordal viewed if there is a smooth motion of a constant length chord with its endpoints along $\alpha$ such that their tangents to the curve at these points form a constant angle. In this ...